310 citations · 7.5k across the 291 of their papers we have counts for
44 papers · 1 filter
Turbulence in non-integer dimensions by fractal Fourier decimation
Uriel Frisch, Anna Pomyalov, Itamar Procaccia +1
Fractal decimation reduces the effective dimensionality of a flow by keeping only a (randomly chosen) set of Fourier modes whose number in a ball of radius is proportional to $…
Finite-Dimensional Turbulence of Planetary Waves
Victor S. L'vov, Anna Pomyalov, Itamar Procaccia +1
Finite-dimensional wave turbulence refers to the chaotic dynamics of interacting wave `clusters' consisting of finite number of connected wave triads with exact three-wave resonanc…
Random Vortex-Street Model for a Self-Similar Plane Turbulent Jet
Victor L'vov, Anna Pomyalov, Itamar Procaccia +1
We ask what determines the (small) angle of turbulent jets. To answer this question we first construct a deterministic vortex-street model representing the large scale structure in…
The State of the Art in Hydrodynamic Turbulence: Past Successes and Future Challenges
Itamar Procaccia, K. R. Sreenivasan
We present a personal view of the state of the art in turbulence research. We summarize first the main achievements in the recent past, and then point ahead to the main challenges…
Comparison of Theory and Direct Numerical Simulations of Drag Reduction by Rodlike Polymers in Turbulent Channel Flows
Roberto Benzi, Emily S. C. Ching, Elisabetta De Angelis +1
Numerical simulations of turbulent channel flows, with or without additives, are limited in the extent of the Reynolds number \Re and Deborah number \De. The comparison of such sim…
Universal Model of Finite-Reynolds Number Turbulent Flow in Channels and Pipes
Victor S. L'vov, Itamar Procaccia, Oleksii Rudenko
In this Letter we suggest a simple and physically transparent analytical model of the pressure driven turbulent wall-bounded flows at high but finite Reynolds numbers Re. The model…